Wave Riemann description of friction terms in unsteady shallow flows: application to water and mud/debris floods
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Publication:423020
DOI10.1016/j.jcp.2011.11.014zbMath1408.76152OpenAlexW1989044492MaRDI QIDQ423020
Publication date: 18 May 2012
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.11.014
weak solutionsstability regionyield stressviscous stressCoulomb stressRoe methodsshallow water systemsstopping conditionswell-balanced approachwet/dry frontdispersive stressmud/debris flowturbulent stress
Navier-Stokes equations for incompressible viscous fluids (76D05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
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Cites Work
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- Conservative numerical simulation of multi-component transport in two-dimensional unsteady shallow water flow
- Weak solutions for partial differential equations with source terms: application to the shallow water equations
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
- Generalized Roe schemes for 1D two-phase, free-surface flows over a mobile bed
- Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation
- A conservative 2D model of inundation flow with solute transport over dry bed
- The influence of source terms on stability, accuracy and conservation in two-dimensional shallow flow simulation using triangular finite volumes
- Friction term discretization and limitation to preserve stability and conservation in the 1D shallow-water model: Application to unsteady irrigation and river flow
- Finite Volume Methods for Hyperbolic Problems
- Analysis of a second‐order upwind method for the simulation of solute transport in 2D shallow water flow
- On the solution of nonlinear hyperbolic differential equations by finite differences